A 25.0-kg box of textbooks rests on a ramp that makes an angle a with the horizontal. "he coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35. (a) As the angle a is increased, find the minimum angle at which the box starts to slip. (Ans: 19.3°) (b) At this angle, find the acceleration once the box has begun to move. (Ans: 0.92 m/s?) (c) At this angle, how fast will the box be moving after it has slid 5.0 m along the loading ramp? (Ans: 3 m/s)

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A 25.0-kg box of textbooks rests on a ramp that makes an angle a with the horizontal.
The coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35.
(a) As the angle a is increased, find the minimum angle at which the box starts to slip.
(Ans: 19.3°)
(b) At this angle, find the acceleration once the box has begun to move. (Ans: 0.92
m/s³)
(c) At this angle, how fast will the box be moving after it has slid 5.0 m along the
loading ramp? (Ans: 3 m/s)
Transcribed Image Text:A 25.0-kg box of textbooks rests on a ramp that makes an angle a with the horizontal. The coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35. (a) As the angle a is increased, find the minimum angle at which the box starts to slip. (Ans: 19.3°) (b) At this angle, find the acceleration once the box has begun to move. (Ans: 0.92 m/s³) (c) At this angle, how fast will the box be moving after it has slid 5.0 m along the loading ramp? (Ans: 3 m/s)
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